Finding the Third Proportional to 105,534 and 222,003

Step by Step Solution

1. Step 1: Write the proportion equation
   105,534 : 222,003 = 222,003 : x
2. Step 2: Convert to fraction form
   105,534/222,003 = 222,003/x
3. Step 3: Cross multiply
   105,534x = 222,003 × 222,003
4. Step 4: Simplify right side
   105,534x = 49,285,332,009
5. Step 5: Solve for x
   x = 49,285,332,009/105,534
6. Step 6: Final answer
   x = 467,009.04